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Effectus [21]
3 years ago
9

How do I make an equation out of a word problem?

Mathematics
2 answers:
JulijaS [17]3 years ago
8 0

say you have a word problem like Jonny has 2 apples and he eats 1 how many does he have left you would say the equation is 2-1=1

Ivenika [448]3 years ago
3 0

Answer:

Steps are below!

Step-by-step explanation:

  1. Read the problem carefully and figure out what it is asking you to find.
  2. Assign a variable to the quantity you are trying to find.
  3. Write down what the variable represents. .
  4. Re-read the problem and write an equation for the quantities given in the problem.
  5. Solve the equation.
  6. Answer the question in the problem.
  7. Check your solution.

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A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

Lets, assume the height(AB) = h and base(BC)= x

If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

\frac{d\alpha}{dt}=[\frac{1}{1+ \frac{h^2}{x^2}}]*(\frac{1}{x})\frac{dh}{dt}

Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

that means h = 40 feet and \frac{dh}{dt} = 10 feet/second.

C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

= 0.12 (Rounding up to two decimal places)

So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
What is greater 95 percent or 0.9
nikklg [1K]
95% is larger because 0.9 is like 90% and 95% is more than 90%
3 0
3 years ago
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-5+4=3x-9 <br> My teacher told me it was negative three.. can someone help?
Alexxx [7]

Answer:

x = 8/3

Step-by-step explanation:

(When solving for a variable, always do the opposite of PEMDAS)

-5 + 4 = 3x - 9

-1 = 3x - 9

8 = 3x

8/3 = x

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Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Natasha2012 [34]
<span>The missing angle measure in triangle ABC is 55°.

The measure of angle BAC in triangle ABC is equal to the measure of angle 
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The measure of angle ABC in triangle ABC is equal to the measure of </span><span>angle EFD in triangle DEF.

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3 years ago
I’ll give brainliest!
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Answer:

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Step-by-step explanation:

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3 years ago
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